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Finding the Fourth Proportional to 147,941.20, 221,911.80 and 132,194.80

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Solution

The fourth proportional to 147,941.20, 221,911.80 and 132,194.80 is: 198,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,941.20 : 221,911.80 = 132,194.80 : x
  2. Step 2: Convert to fraction form
    147,941.20/221,911.80 = 132,194.80/x
  3. Step 3: Cross multiply
    147,941.20x = 221,911.80 × 132,194.80
  4. Step 4: Simplify right side
    147,941.20x = 29,335,586,018.64
  5. Step 5: Solve for x
    x = 29,335,586,018.64/147,941.20
  6. Step 6: Final answer
    x = 198,292.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.